Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help

Answers

Answer 1

Answer:r

Step-by-step explanation:

Answer 2

On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

What is the isolation of a variable in an equation?

The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.

How to solve the question?

In the question, we are asked to solve for a, from the given equation:

M = 7a + 5ab.

To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.

To isolate 'a', we will follow these steps:

M = 7a + 5ab

or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)

or, a(7 + 5b) = M ... (Changing the sides)

or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))

or, a = M/(7 + 5b) ... (Simplifying)

Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

Learn more about the isolating of a variable at

https://brainly.com/question/12141394

#SPJ2


Related Questions


Mike packed three granola bars, measuring 8 cm by 3 cm by 1cm. What volume a box needs
to hold twelve bars?​

Answers

Helloyo!


Answer: 288 cm^3

Explanation:

Volume of on bar = 8*3*1 = 24 cm^3

Volume of 12 bars = 8*3*1*12 = 24*12 = 288 cm^3


Hope it helps ya

Answer:

288 cm^3

Step-by-step explanation:

First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.

To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:

Answers

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

Please hurry!

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answers

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

The first one is the best

On the graph of an exponential function representing growth what happens to the slope of the graph as X increases

Answers

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

The operation symbol and the exponent are missing in the equation shown below.
7,320
10
0.07320
Which operation symbol and exponent should go in the boxes to make the
equation true?

Answers

Answer:

The operating symbol is divide (/) and the exponent is 5

[tex]7,320 / \ 10^5 = 0.07320[/tex]

Step-by-step explanation:

Given

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Required

Fill in the gap

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Multiply the right hand side by 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 1[/tex]

Express 1 as 100000/100000 because 100000/100000 = 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}[/tex]

Split the fraction

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}[/tex]

Multiply 0.7320 and 10000

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}[/tex]

Express [tex]\frac{1}{100000}[/tex] as an exponent

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}[/tex]

Change the * sign to /

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}[/tex]

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5[/tex]

Compare the expression on the right hand side with the left hand side base on the order of appearance;

[tex]7,320 = 7,320[/tex]

[tex]The first\ \ _ = \ /[/tex]

[tex]10 = 10[/tex]

[tex]The second\ \_ = 5[/tex]

Hence, the operating symbol is / and the exponent is 5

What is the volume of the cylinder below?
1
1
4
5
A. 4577 units 3
B. 90 units
C. 367 units 3
D. 727 units 3

Answers

Answer:

36pi Units^3

Step-by-step explanation:

Slanted (oblique) cylinders have the same volume as standard (right) cylinders.  

V=pi r-squared h

V=pix3x3x4

V=36 pi Units cubed

Answer:

The correct answer is 36 pi units^3

Step-by-step explanation:

Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer pls I can answer ur question maybe

Answers

Answer:

[tex]C=5\pi \approx15.71[/tex]

Step-by-step explanation:

The arc length of the semicircle is basically the circumference of it. Therefore, we can use the circumference formula.

The circumference of a full circle is:

[tex]C=2\pi r[/tex]

Therefore, the circumference of a semicircle is half of that (ignoring the diameter):

[tex]C=\pi r[/tex]

The radius is 5.

[tex]C=\pi (5)=5\pi \approx15.71[/tex]

The arc length is around 15.71 units.

Answer:

39.25

Step-by-step explanation:

5^2=25

25x3.14=78.5

78.5/2=39.25

please answer need help with equation

Answers

Answer:

12

Step-by-step explanation:

We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.

1/3(4 · 3) + 2³

= 1/3 · 12 + 2³  -- Parentheses

= 1/3 · 12 + 8 -- Exponents

= 4 + 8 -- Multiplication

= 12 -- Addition

Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.

Answers

Answer:

Step-by-step explanation:

This is a decaying exponential function whose initial value is (0, 2).

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Answers

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

PLEASE HURRY!⚠️

Which is a perfect square?

Answers

6^2 is the correct answer

Answer:

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank THIS IS URGENT! PLEASE ANSWER! I REALLY NEED HELP! :((( :c :'( *crys

Answers

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

[tex]A = P (1 + rt)[/tex]

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]

Divide both sides by 1.6 we have

[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]

P= $6,250

I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)

Answers

Answer:

y = -2x

Step-by-step explanation:

Some points are (1,-2) , (2, -4), and (3,-6).

From these three points, we can try each of the equations to see what is correct.

If y = -2x

-2 = (-2)1

-4 = (-2)2

-6 = (-2)3

If y = x

-2 ≠ 1

-4 ≠ 2

-6 ≠ 3

If y = 2x

-2 ≠ 2(1)

-4 ≠ 2(2)

-6 ≠ 2(3)

a percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit

Answers

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".

Answer:

c) per 100 unit

Step-by-step explanation:

a percent measures a rate:

per cent ⇒ per 100

The correct answer is option c.

Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.

Answers

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!

Here is another easy question to answer: What is the mean of the data sets {41,19,29,12,49,30}, {28,22,10,30,15}, {49,24,18,53,38}?

Answers

Answer:

Data set A {41,19,29,12,49,30} = 30

Data set B {28,22,10,30,15} = 21

Data set C{49,24,18,53,38} = 36.4

Step-by-step explanation:

Data set A {41,19,29,12,49,30} =

Mean = Sum of terms/ number of terms

Number of term = 6

Mean = 41 + 19 + 29 + 12 + 49 + 30/ 6

= 180/6 = 30

Data set B {28,22,10,30,15} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean = 28 + 22 + 10 + 30 + 15/ 5

= 105/5 = 21

Data set C{49,24,18,53,38} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean =49 + 24 + 18 + 53 + 38/ 5

= 182/5 = 36.4

is this right? i’ll give brainliest :)

Answers

It is.

[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]

Answer:

Correctomundo!

Step-by-step explanation:

For x-10 > 0:

1. Add 10 to both sides. x- 10 + 10 > 0 + 10

x > 10

For -5 + n < -6:

1. Simplify both sides of the inequality.  n - 5 < -6

2. Add 5 to both sides. n - 5 + 5 < -6 + 5

n < -1

:)

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.

Answers

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty

Answers

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

Answer:
100 degrees just think about how all the angles in a triangle add up to 180 degrees

9. Find P(rolling 1 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?

Answers

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Complete the synthetic division problem below.
-32 4
What is the quotient in polynomial form?
O A. 2x2 + 2x-6
B. 2x2 + 2x-2
C. 2x2 - 2x + 6
D. 2x2 - 2x+ 2​

Answers

Answer:

D. 2x^2-2x+2

Step-by-step explanation:

Step 1: -3 | 2 4 -4 6

Step 2: -3 | 2 4 -4 6

                    -6  6 -6            

                | 2 -2  2 0

Bring 2 down to the answer then multiply it with 3 and add it with the next coefficient. Repeat the process until you get to the last number and you're done. Sorry its kind of hard to explain the steps for synthetic division. Hope this helps!

The synthetic division problem that is given has the quotient in polynomial form is 2x2 - 2x+ 2​. The correct option is D.

What is the polynomial form?

A polynomial is made up of terms, each of which has a coefficient, whereas an expression is a statement that has at least two integers and one mathematical expression.

Polynomials can be discovered by observing which formulas contain just addition, subtraction, multiplication, and non-negative integer exponents. Non-polynomial expressions will be those that contain other operations.

-3 | 2 4 -4 6

-3 | 2 4 -4 6

-6  6 -6            

2 -2  2 0

Bring 2 down to the solution, multiply it by 3, and then add it to the next coefficient. Repeat the process until you reach the last number, then stop.

Therefore, the correct option is D. 2x2 - 2x+ 2​.

To learn more about polynomial form, refer to the link:

https://brainly.com/question/15712876

#SPJ2

In the figure below which term best describes point 7?​

Answers

The three lines drawn are at 90 degree angles, so are drawn perpendicular to the vertex.

This means point T is the orthocenter.

The answer is A

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.​

Answers

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles

Answers

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)

Answers

Answer:

zephyr

Step-by-step explanation:

ez i am god of thunder

Which inequality is represented by the graph

Answers

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

Solve the system using elimination 20x+3y=20 -20x+5y=60

Answers

8y=80
y=10
Substitute this y into one of the equations and solve for x. For example:
20x+30=20
x=-1/2.

(-1/2,10) is the solution.

Answer:

x=2, y=20

Step-by-step explanation:

20x+3y=20-20x+5y=60

Combine like terms, so you would do plus 20x both sides and minus 3y both sides.

After that you can also do minus 20 both sides.

So you are left with 40x=2y=40

Other Questions
Which Graph represents the solution to the compound inequality 4x +8< -16 or 4x + 8 > 4 A compound, C11H12O2, has an IR spectrum showing a peak at 1710 cm-1. Its 1H NMR spectrum has peaks at delta 1.3 (3 H, triplet), 4.3 (2 H, quartet), 6.5 (1 H, doublet), 7.4-7.6 (5 H, multiplet), and 7.7 (1 H, doublet). Required:Draw its structure below. which correctly describes how the graph of the inequality -4 -x >7 is shaded?A. Above the dashed lineB. Above the solid lineC. Below the solid limeD. Below the dashed line. Banks often estimate inflation. You can see what they think inflation will be if you know how much they charge for loans and how much they expect to earn. Suppose the nominal interest rate is 7% and the real interest rate is 2%. Given these interest rates, the bank thinks inflation will be_________ % What is the middle term of the product of (x - 4)(x - 3)? What was one idea Dalton taught about atoms?A. Atoms contained negatively charged particles scattered inside.B. Atoms of one type would not react with atoms of another type.C. All atoms of one type were identical in mass and properties.D. Atoms changed into new elements when they formed compounds. Which of the following sentences means "I kick it to you"?A. Te lo pateo.B. Me lo pateas.C. Nos los pateis.D. Se lo pateamos. A university bookstore buys mechanical pencils from a wholesaler. The wholesaler offers discount for large order quantity per shipment according to the following price schedule:Order Quantity Price Per Unit1 to 200 $4.00 201 to 1,000 $3.60 1,001 to 2,000 $3.40 2,001 and greater $3.25The bookstore expects an annual demand of 2,500 units. It costs $10 to place an order, and the annual cost of holding a unit in stock is 30% of the units procurement price. Determine the best order quantity. A greengrocer sell potatoes into passive voice North Side, Inc. has no debt outstanding and a total market value of $175,000. Earnings before interest and taxes, EBIT, are projected to be $16,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 30 percent higher. If there is a recession, then EBIT will be 70 percent lower. The company is considering a $70,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 2,500 shares outstanding and the tax rate is 34 percent. What will be the percentage change in EPS if the economy has a strong expansion? In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD? what does it mean for a savings account to have a minimum balance Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ? What nationality were the Boers? A. Portuguese B. English C. French D. Dutch Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting? solve the inequality 7(v + 8) 7v + 1 Psychology 1AQuestion: Its the end of the session, and you are dealing with multiple stressors. According to Hans Selyes general adaptation syndrome (GAS), youre at the first stage of alarm reaction. This stage will be followed by the second stage of ___, as you deal with all your stressors. Eventually it will lead to the third stage of ___ where you may become more vulnerable to illness. So please take care of your mental and physical well-being!Answers: Group of answer choicesfight-or flight; tend-and-befriendexhaustion; resistance.tend-and-befriend; fight-or flight Wages of $8,000 are earned by workers but not paid as of December 31. Depreciation on the companys equipment for the year is $11,440. The Office Supplies account had a $350 debit balance at the beginning of the year. During the year, $5,367 of office supplies are purchased. A physical count of supplies at December 31 shows $587 of supplies available. The Prepaid Insurance account had a $5,000 balance at the beginning of the year. An analysis of insurance policies shows that $1,800 of unexpired insurance benefits remain at December 31. The company has earned (but not recorded) $700 of interest revenue for the year ended December 31. The interest payment will be received 10 days after the year-end on January 10. The company has a bank loan and has incurred (but not recorded) interest expense of $5,000 for the year ended December 31. The company will pay the interest five days after the year-end on January 5. For each of the above separate cases, prepare adjusting entries required of financial statements for the year ended (date of) December 31. A recent study found that toddlers who have a diet high in processed foods may have a slightly lower IQ later in life. The conclusion came from a long-term investigation of 14,000 people whose health was monitored at 3,4,7, and 8 years of age.a) One analysis found that of the 4000 children for which there were complete data, there was a significant difference in IQ between those who had had "processed" (i.e., junk) food and those who followed health-conscious diets in early childhood. Is this an experiment? Why or why not?b) Discuss at least two explanatory factors that could conceivably confound the relationship between diet and IQ. Between each presynaptic and postsynaptic neuron is a ____________ that is the fluid-filled space between them. Each presynaptic neuron releases ____________ that binds with receptors in the ____________ segment of a postsynaptic neuron. The ____________ channels of the receptive segment open when these molecules bind. Specific ions then cross the membrane, initiating a ____________ potential in the postsynaptic neuron. This local potential is a small voltage change in the ____________ potential. Graded potentials that occur in postsynaptic neurons are specifically called ____________ potentials.